Split-back convertible sofa bed



FIG. 1 is a front view of the split-back convertible sofa bed;

FIG. 2 is a side view of the split-back convertible sofa bed;

FIG. 3 is a perspective view of the split-back convertible sofa bed in a bed position;

FIG. 4 is a perspective view of the split-back convertible sofa bed with one the two split back portions in a bed position and the other one of the two split back portions in a sofa position; and,

FIG. 5 is a perspective view of the split-back convertible sofa bed in a sofa position with the sofa bed arms in a raised position. 

CLAIM The ornamental design for a split-back convertible sofa bed, as shown and described. 